Viscous Hyperstabilization of Detonation Waves in One Space Dimension
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Publication:5264967
DOI10.1137/140980223zbMath1320.35271arXiv1311.6417OpenAlexW1570566316MaRDI QIDQ5264967
Jeffrey Humpherys, Kevin Zumbrun, Blake Barker, Gregory D. Lyng
Publication date: 21 July 2015
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1311.6417
PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Shock waves and blast waves in fluid mechanics (76L05) Chemically reacting flows (80A32) Traveling wave solutions (35C07)
Related Items
Recent Results on Stability of Planar Detonations, Euler Versus Lagrange: The Role of Coordinates in Practical Evans-Function Computations, Numerical proof of stability of viscous shock profiles, Evans function computation for the stability of travelling waves, Root Following in Evans Function Computation, Ion-acoustic shock in a collisional plasma, Multidimensional stability of large-amplitude Navier-Stokes shocks, Computing Evans functions numerically via boundary-value problems, Stability of viscous weak detonation waves for Majda's model, Theory of weakly nonlinear self-sustained detonations, Existence of Chapman--Jouguet Detonation and Deflagration Waves, Convex entropy, Hopf bifurcation, and viscous and inviscid shock stability
Uses Software
Cites Work
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- WAMR: an adaptive wavelet method for the simulation of compressible reacting flow. Part I: Accuracy and efficiency of algorithm
- Stability of viscous weak detonation waves for Majda's model
- Transition to longitudinal instability of detonation waves is generically associated with Hopf bifurcation to time-periodic galloping solutions
- Stability and instability of solitary waves of the fifth-order KdV equation: a numerical framework
- Stability of detonation profiles in the ZND limit
- Pointwise Green function bounds and stability of combustion waves
- Semiclassical eigenvalue distribution of the Zakharov-Shabat eigenvalue problem
- Stability of viscous shocks in isentropic gas dynamics
- Spectral stability of ideal-gas shock layers
- The compound matrix method for ordinary differential systems
- Geometric theory of semilinear parabolic equations
- Supersonic flow and shock waves. Reprint of the ed. published by Interscience Publishers, New York
- One-dimensional stability of viscous strong detonation waves
- Perturbation theory for linear operators.
- Numerical exterior algebra and the compound matrix method
- Nonlinear modulational stability of periodic traveling-wave solutions of the generalized Kuramoto-Sivashinsky equation
- Efficient computation of analytic bases in Evans function analysis of large systems
- An efficient shooting algorithm for Evans function calculations in large systems
- Numerical testing of the stability of viscous shock waves
- The effect of diffusion on the dynamics of unsteady detonations
- Heteroclinic orbits with fast transitions: a new construction of detonation profiles
- A Geometric Singular Perturbation Analysis of Detonation and Deflagration Waves
- On the Detonation of a Combustible Gas
- Theoretical and Numerical Structure for Unstable One-Dimensional Detonations
- Calculation of linear detonation instability: one-dimensional instability of plane detonation
- Theoretical and Numerical Structure for Reacting Shock Waves
- Nonlinear stability of strong detonation waves in gas dynamical combustion
- Global Solutions to the Compressible Navier–Stokes Equations for a Reacting Mixture
- Equivalence of low frequency stability conditions for multidimensional detonations in three models of combustion
- Efficient numerical stability analysis of detonation waves in ZND
- Analysis of the spatio-temporal scales of laminar premixed flames near equilibrium
- Stability of Idealized One-Reaction Detonations
